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Finding the Third Proportional to 4,166,424 and 9,130,536

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Solution

The third proportional to 4,166,424 and 9,130,536 is: 20,009,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166,424 : 9,130,536 = 9,130,536 : x
  2. Step 2: Convert to fraction form
    4,166,424/9,130,536 = 9,130,536/x
  3. Step 3: Cross multiply
    4,166,424x = 9,130,536 × 9,130,536
  4. Step 4: Simplify right side
    4,166,424x = 83,366,687,647,296
  5. Step 5: Solve for x
    x = 83,366,687,647,296/4,166,424
  6. Step 6: Final answer
    x = 20,009,170.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.